A statistical distribution in which the variates occur with probabilities asymptotically matching their "true" underlying statistical distribution is said to be random.
Random Distribution
See also
Random Number, Statistical DistributionExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Random Distribution." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/RandomDistribution.html